Solve for x 3x^2-6x+3=0

Problem

3*x^2−6*x+3=0

Solution

1. Factor out the greatest common factor, which is 3

3*(x^2−2*x+1)=0

2. Divide both sides by 3 to simplify the equation.

x^2−2*x+1=0

3. Identify the expression as a perfect square trinomial of the form a^2−2*a*b+b^2=(a−b)^2

(x−1)^2=0

4. Take the square root of both sides.

x−1=0

5. Solve for x by adding 1 to both sides.

x=1

Final Answer

x=1

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